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Finding the Third Proportional to 65,742 and 100,251

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Solution

The third proportional to 65,742 and 100,251 is: 152,874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,742 : 100,251 = 100,251 : x
  2. Step 2: Convert to fraction form
    65,742/100,251 = 100,251/x
  3. Step 3: Cross multiply
    65,742x = 100,251 × 100,251
  4. Step 4: Simplify right side
    65,742x = 10,050,263,001
  5. Step 5: Solve for x
    x = 10,050,263,001/65,742
  6. Step 6: Final answer
    x = 152,874.31

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.